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Finding the Fourth Proportional to 12,740.49, 17,585.51 and 7,438.23

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Solution

The fourth proportional to 12,740.49, 17,585.51 and 7,438.23 is: 10,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.49 : 17,585.51 = 7,438.23 : x
  2. Step 2: Convert to fraction form
    12,740.49/17,585.51 = 7,438.23/x
  3. Step 3: Cross multiply
    12,740.49x = 17,585.51 × 7,438.23
  4. Step 4: Simplify right side
    12,740.49x = 130,805,030.86
  5. Step 5: Solve for x
    x = 130,805,030.86/12,740.49
  6. Step 6: Final answer
    x = 10,266.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.